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12203332314304 = 261797495723327
BaseRepresentation
bin1011000110010100111101…
…0010011010010011000000
31121012121221012200220011011
42301211033102122103000
53044414411033024204
641542044455130304
72366442644116405
oct261451722322300
947177835626134
1012203332314304
113985449a5106a
121451107373994
136a6a001c6571
1430290448c2ac
15162683bcc304
hexb194f49a4c0

12203332314304 has 112 divisors (see below), whose sum is σ = 25911128662272. Its totient is φ = 5682150899712.

The previous prime is 12203332314209. The next prime is 12203332314307. The reversal of 12203332314304 is 40341323330221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12203332314307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523130289 + ... + 523153615.

It is an arithmetic number, because the mean of its divisors is an integer number (231349363056).

Almost surely, 212203332314304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12203332314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12955564331136).

12203332314304 is an abundant number, since it is smaller than the sum of its proper divisors (13707796347968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12203332314304 is a wasteful number, since it uses less digits than its factorization.

12203332314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28410 (or 28400 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 12203332314304 its reverse (40341323330221), we get a palindrome (52544655644525).

The spelling of 12203332314304 in words is "twelve trillion, two hundred three billion, three hundred thirty-two million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 136 194 272 388 544 776 1088 1552 1649 3104 3298 4957 6208 6596 9914 13192 19828 23327 26384 39656 46654 52768 79312 84269 93308 105536 158624 168538 186616 317248 337076 373232 396559 480829 674152 746464 793118 961658 1348304 1492928 1586236 1923316 2262719 2696608 3172472 3846632 4525438 5393216 6344944 7693264 8174093 9050876 12689888 15386528 16348186 18101752 25379776 30773056 32696372 36203504 38466223 65392744 72407008 76932446 115631939 130785488 144814016 153864892 231263878 261570976 307729784 462527756 523141952 615459568 925055512 1230919136 1850111024 1965742963 2461838272 3700222048 3931485926 7400444096 7862971852 11216298083 15725943704 22432596166 31451887408 44865192332 62903774816 89730384664 125807549632 179460769328 190677067411 358921538656 381354134822 717843077312 762708269644 1525416539288 3050833078576 6101666157152 12203332314304